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Finding the Third Proportional to 130,153.50 and 271,606.50

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Solution

The third proportional to 130,153.50 and 271,606.50 is: 566,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,153.50 : 271,606.50 = 271,606.50 : x
  2. Step 2: Convert to fraction form
    130,153.50/271,606.50 = 271,606.50/x
  3. Step 3: Cross multiply
    130,153.50x = 271,606.50 × 271,606.50
  4. Step 4: Simplify right side
    130,153.50x = 73,770,090,842.25
  5. Step 5: Solve for x
    x = 73,770,090,842.25/130,153.50
  6. Step 6: Final answer
    x = 566,792.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.